What is the average rate of change over the interval given?
1 answer:
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The piece-wise linear functions can be written as follows:
.
.
.
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:
.
For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:
.
For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:
m = (-3 - (-5))(3 - 2) = 2.
The rule is:
y = 2x + b.
When x = 2, y = -5, hence:
-5 = 2(2) + b
b = -9.
Hence:
.
More can be learned about linear functions at brainly.com/question/24808124
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The most appropriate choice for unitary method will be given by-
Length of driveway in the drawing is 3 inch
What is unitary method?
Unitary method is the method in which value of a single unit can be calculated from the value of a multiple unit and value of a multiple unit can be calculated from the value of a single unit.
Sometimes value of single unit is less than value of multiple unit
For example - cost of food and quantity of food
Sometimes value of single unit is more than value of multiple unit
For example- Number of men and time taken by those men to do a work
Here,
Scale used by Maureen is 1 inch = 8ft
Actual length of house's driveway = 24 feet
8 ft of room is equal to 1 inch on scale
1 ft of room is equal to inch on scale
24 feet of room is equal to inch on scale
24 feet of room is equal to 3 inch on scale
Length of driveway in the drawing is 3 inch
To learn more about unitary method, refer to the link-
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